Abstract:This paper calcilates the normal Fourier power spectrum (NFS),Blackman-Turkey power spectrum (BTS) and maximum entropy power spectrum (MES) of the time series of the energy's release for the global shallow earthquakes from 1904 to 1980.By use of the various modes of sampling and methods of the estimation of the power spectrum,it is obtained that the more confident latent periods of the energy's release of earthqukes were 9.1,14.4,45.4 and 128 years,and there are the integer ratio's factors,3 and 5,between these primary periodic components.By means of the cross-power spectrum's method.We obtain.aswell,the initial phases of these primary periodic components,hence,estimate the time of their maximum values,compare them with the time series of the energy's release for earthquakes,and guesse that the next high level's period of the energy's release for the global shallow earthquakes will be about 1990-1994 years.